Answer:
The answer is 32/45
Explanation:
Let the number be x
The product of two numbers is 16/9
That's
x × y = 16/9
One of the numbers is 5/2
That's
y = 5/2
So we have

Multiply through by the LCM
The LCM of 2 and 9 is 18
That's

9 × 5x = 16 × 2
45x = 32
Divide both sides by 45
we have the final answer as

Hope this helps you